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geothermal resource potential of the safford-san simon basin, arizona

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By converting milligrams per liter to molal concentration <strong>of</strong> analyzed silica,<br />

<strong>the</strong> silica correction (C Si02<br />

) is:<br />

Equation 5<br />

lOX<br />

C Si02<br />

=<br />

_s<br />

1.04l6667XlO<br />

where:<br />

X = 9.7 + pH + lOg~Analyzed silica) (1.04l6667XlO- s 2)<br />

An additional refinement to this correction is needed because <strong>the</strong> dissociation<br />

constant (K) varies with temperature. By using <strong>the</strong> Vanlt H<strong>of</strong>f equation,<br />

this constant may be calculated at any temperature.<br />

The value <strong>of</strong> heat <strong>of</strong><br />

ionization (~H) used is 3.3 kcal/mole at 25 0 C.<br />

Equation 6<br />

dlnK ~H<br />

--=-2<br />

RT<br />

at<br />

Rewritten as:<br />

Equation 7<br />

or:<br />

Equation 8<br />

S S<br />

~HSdT ~H<br />

dInK = InK = - .- = - - + C<br />

K T2 RT<br />

log K = -<br />

~H<br />

.00458T + C<br />

For known values <strong>of</strong> K, ~H,<br />

and T, C is calculated as follows:<br />

Equation 9<br />

C = (.Oo~5~)(299) - 9.70 = - 7.30<br />

117

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